On the Total Variation and Hellinger Distance Between Signed Measures; an Application to Product Measures

DOI10.2307/2045462zbMath0523.28006OpenAlexW4234934149MaRDI QIDQ3035744

Ton Steerneman

Publication date: 1983

Full work available at URL: https://doi.org/10.2307/2045462

zbMATH Keywords

product measuressigned measuresHellinger metricvariation normKraft's inequalityvariation measuregeneralized Hellinger affinity

Mathematics Subject Classification ID

Inequalities; stochastic orderings (60E15) Spaces of measures, convergence of measures (28A33) Spaces of measures (46E27) Measures and integrals in product spaces (28A35)

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Birth–death dynamics for sampling: global convergence, approximations and their asymptotics ⋮ Well-posed Bayesian inverse problems and heavy-tailed stable quasi-Banach space priors ⋮ A Tool in Establishing Total Variation Convergence ⋮ Optimal nonparametric change point analysis

Cites Work

• Unnamed Item
• Approximation of product measures with an application to order statistics
• A central limit theorem under contiguous alternatives
• Distinguishability of Sets of Distributions
• A Note on the Zero-one Law

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